4 papers
Connected Hopf Algebras that are Not Hopf Ore Extensions of Enveloping Algebras
Mengying Hu, Quanshui Wu
We construct a family of connected Hopf algebras with finite Gelfand-Kirillov dimension, none of which is an iterated Hopf Ore extension of the universal enveloping algebra of its…
Soliton Transitions Mediated by Skin-Mode Localization and Band Nonreciprocity
Shanyue Li, Mengying Hu, Jing Lin +3
Solitons, typically resulting from a competition between band dispersion and nonlinearity, occur in lattices featuring the non-Hermitian skin effect as nonlinearity increases, acco…
Unveiling Non-Hermitian Spectral Topology in Hyperbolic Lattices with Non-Abelian Translation Symmetry
Mengying Hu, Jing Lin, Kun Ding
The hyperbolic lattice (HBL) has emerged as a compelling platform for exploring matter in non-Euclidean space. Among its notable features, the breakdown of the conventional Bloch t…
Strongest quantum nonlocality in -partite systems
Mengying Hu, Ting Gao, Fengli Yan
A set of orthogonal states possesses the strongest quantum nonlocality if only a trivial orthogonality-preserving positive operator-valued measure (POVM) can be performed for each…